Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6601	Solve for y	2y=x+6	$2 y = x + 6$
6602	Simplify the Radical Expression	square root of 2+ square root of 8- square root of 50	$\sqrt{2} + \sqrt{8} - \sqrt{50}$
6603	Simplify	square root of 2-4 square root of 6+5 square root of 2+ square root of 6	$\sqrt{2} - 4 \sqrt{6} + 5 \sqrt{2} + \sqrt{6}$
6604	Solve for x	4e^(2x)-7e^x=15	$4 e^{2 x} - 7 e^{x} = 15$
6605	Simplify	-4x^2(5x^4-3x^2+x-2)	$- 4 x^{2} (5 x^{4} - 3 x^{2} + x - 2)$
6606	Find the Concavity	f(x)=-2/5x^6+5x^4	$f (x) = - \frac{2}{5} x^{6} + 5 x^{4}$
6607	Evaluate	5 log base 2 of 32+2 log base 3 of 1/9	$5 \log_{2} (32) + 2 \log_{3} (\frac{1}{9})$
6608	Graph	y<=3/2(x+1)	$y \leq \frac{3}{2} (x + 1)$
6609	Solve the System of Inequalities	y<-x+3 y>x-1	$y < - x + 3$ $y > x - 1$
6610	Simplify	square root of 8a^2* square root of 4a	$\sqrt{8 a^{2}} \cdot \sqrt{4 a}$
6611	Simplify	square root of 6/7* square root of 1/3	$\sqrt{\frac{6}{7}} \cdot \sqrt{\frac{1}{3}}$
6612	Simplify	(5^(2/7))(5^(5/6))	$(5^{\frac{2}{7}}) (5^{\frac{5}{6}})$
6613	Solve for x	x=(-6+- square root of 6^2-438)/(2*3)	$x = \frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot 8}}{2 \cdot 3}$
6614	Evaluate the Function	g(3y)=x^2	$g (3 y) = x^{2}$
6615	Simplify	ninth root of x^-2*x^5	$\sqrt[9]{x^{- 2} \cdot x^{5}}$
6616	Simplify	2 square root of 3(4 square root of 5+ square root of 6)	$2 \sqrt{3} (4 \sqrt{5} + \sqrt{6})$
6617	Solve for x	(27^(1/4))/(3^(x/4))=1	$\frac{27^{\frac{1}{4}}}{3^{\frac{x}{4}}} = 1$
6618	Simplify	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
6619	Find the Product	square root of 2x^4* square root of 8x^3	$\sqrt{2 x^{4}} \cdot \sqrt{8 x^{3}}$
6620	Write the Fraction in Simplest Form	((4v)^2)/(4v)	$\frac{{(4 v)}^{2}}{4 v}$
6621	Simplify	square root of a^4* square root of 81b^4	$\sqrt{a^{4}} \cdot \sqrt{81 b^{4}}$
6622	Simplify	6/( square root of 80)	$\frac{6}{\sqrt{80}}$
6623	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^3-7x^4-9x-3x^2+11	$f (x) = 8 x^{3} - 7 x^{4} - 9 x - 3 x^{2} + 11$
6624	Simplify	(4/(5x))(-(45x)/2)	$(\frac{4}{5 x}) (- \frac{45 x}{2})$
6625	Find the Domain and Range	y+3=2^x	$y + 3 = 2^{x}$
6626	Find the Maximum/Minimum Value	f(x)=x^4+x^3-4x^2+5	$f (x) = x^{4} + x^{3} - 4 x^{2} + 5$
6627	Expand Using Sum/Difference Formulas	2(x+3)	$2 (x + 3)$
6628	Find the Antiderivative	2x(1+3x^3)	$2 x (1 + 3 x^{3})$
6629	Solve for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
6630	Solve the Function Operation	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \times 3, 2] \div 1$ , $5$
6631	Simplify	( square root of a- square root of b)÷( square root of ab)	$(\sqrt{a} - \sqrt{b}) \div \sqrt{a b}$
6632	Solve for u	-7-2u+7=3(-u-10)+4u	$- 7 - 2 u + 7 = 3 (- u - 10) + 4 u$
6633	Simplify the Radical Expression	x square root of x^6	$x \sqrt{x^{6}}$
6634	Simplify	Find the sum of x^2+3x and -2x^2+9x+5	Find the sum of $x^{2} + 3 x$ and $- 2 x^{2} + 9 x + 5$
6635	Solve for x	2-8/3=(3x-5)/(3x)	$2 - \frac{8}{3} = \frac{3 x - 5}{3 x}$
6636	Solve for y	(7y)/8-(3y)/5=11/2	$\frac{7 y}{8} - \frac{3 y}{5} = \frac{11}{2}$
6637	Simplify	((3^-1)/(3^6))^-5	${(\frac{3^{- 1}}{3^{6}})}^{- 5}$
6638	Solve for k	17k-9=2k+13k+19	$17 k - 9 = 2 k + 13 k + 19$
6639	Solve the Inequality for z	z-18>=-2/3	$z - 18 \geq - \frac{2}{3}$
6640	Find the LCM	5n^2+19n+12 , 3n	$5 n^{2} + 19 n + 12$ , $3 n$
6641	Write the Fraction in Simplest Form	(3(d^4)^5)/(15d)	$\frac{3 {(d^{4})}^{5}}{15 d}$
6642	Find the Domain	(y^2)/(y-1)+1/(1-y)	$\frac{y^{2}}{y - 1} + \frac{1}{1 - y}$
6643	Simplify	(4x^2y^-2)/(2x^(1/2)y^2)	$\frac{4 x^{2} y^{- 2}}{2 x^{\frac{1}{2}} y^{2}}$
6644	Simplify	Subtract 2x^2-1 from 4x^2+2	Subtract $2 x^{2} - 1$ from $4 x^{2} + 2$
6645	Evaluate the Integral	integral of ((8-4x+6x^(4/3)+12 cube root of x^8)/(4 cube root of x)) with respect to x	$\int (\frac{8 - 4 x + 6 x^{\frac{4}{3}} + 12 \sqrt[3]{x^{8}}}{4 \sqrt[3]{x}}) d x$
6646	Simplify	square root of 8+ square root of 18+ square root of 50- square root of 32	$\sqrt{8} + \sqrt{18} + \sqrt{50} - \sqrt{32}$
6647	Find the Domain and Range	y=arcsec(x+1)	$y = arcsec (x + 1)$
6648	Find the Coterminal Angle	-760	$- 760$
6649	Rationalize the Denominator	square root of 96/8	$\sqrt{\frac{96}{8}}$
6650	Convert to a Decimal	sin(510)deg	$\sin (510)$ degrees
6651	Simplify	(4a^2bc^3)/(24b^-2)	$\frac{4 a^{2} b c^{3}}{24 b^{- 2}}$
6652	Write in Exponential Form	square root of 2^4	$\sqrt{2^{4}}$
6653	Find the Reference Angle	sin(pi/4)	$\sin (\frac{π}{4})$
6654	Find the Domain and Range	f(x)=1/4-\|3(x-2)\|	$f (x) = \frac{1}{4} - \| 3 (x - 2) \|$
6655	Solve for x	8(x+1/2)=44	$8 (x + \frac{1}{2}) = 44$
6656	Solve for s	-20+12s-15=20+7s	$- 20 + 12 s - 15 = 20 + 7 s$
6657	Solve for n	(c^4)/(c^4)=c^n	$\frac{c^{4}}{c^{4}} = c^{n}$
6658	Simplify the Radical Expression	fourth root of 25x^2	$\sqrt[4]{25 x^{2}}$
6659	Evaluate	(1/7)^2*(-3)^3	${(\frac{1}{7})}^{2} \cdot {(- 3)}^{3}$
6660	Solve for x	x-7=(19-x)^(1/2)	$x - 7 = {(19 - x)}^{\frac{1}{2}}$
6661	Find dy/dx	e^y+xy=e	$e^{y} + x y = e$
6662	Solve for x	3x^2+2x^2=35	$3 x^{2} + 2 x^{2} = 35$
6663	Simplify	0.04 square root of 72+0.05 square root of 98-1/5 square root of 50	$0.04 \sqrt{72} + 0.05 \sqrt{98} - \frac{1}{5} \sqrt{50}$
6664	Solve for g	9g+9-12g=19g+9	$9 g + 9 - 12 g = 19 g + 9$
6665	Simplify	3b+5ab+7ab-23b	$3 b + 5 a b + 7 a b - 23 b$
6666	Simplify	x+2+x+2+5x-1	$x + 2 + x + 2 + 5 x - 1$
6667	Find the Maximum/Minimum Value	f(x) = square root of 2x-5	$f (x) = \sqrt{2 x - 5}$
6668	Evaluate the Limit	limit as x approaches c of ((f(x))/(2g(x)))+h(x)	$lim_{x \to c} (\frac{f (x)}{2 g (x)}) + h (x)$
6669	Write the Fraction in Simplest Form	(5n^3)/(3(n)^3)	$\frac{5 n^{3}}{3 {(n)}^{3}}$
6670	Simplify	(3-3cos(theta)^2)/(sin(theta))	$\frac{3 - 3 \cos^{2} (θ)}{\sin (θ)}$
6671	Solve the System of Equations	y=1/2x-5 x+y=1	$y = \frac{1}{2} x - 5$ $x + y = 1$
6672	Solve for t	4t(t-5)-2t(3t+2)+108=3t(2t-5)-t(8t-3)	$4 t (t - 5) - 2 t (3 t + 2) + 108 = 3 t (2 t - 5) - t (8 t - 3)$
6673	Solve for n	n=4 , a=81	$n = 4$ , $a = 81$
6674	Evaluate	5x^2y(2x^4y^-3)	$5 x^{2} y (2 x^{4} y^{- 3})$
6675	Simplify	(16x+8)/(4x+2)	$\frac{16 x + 8}{4 x + 2}$
6676	Simplify	5c^2(c+10)-4c(2c^2-6c+1)	$5 c^{2} (c + 10) - 4 c (2 c^{2} - 6 c + 1)$
6677	Simplify the Radical Expression	-3 square root of 24a^4b^2c^3	$- 3 \sqrt{24 a^{4} b^{2} c^{3}}$
6678	Simplify	7x^3y cube root of 8x^5y^10	$7 x^{3} y \sqrt[3]{8 x^{5} y^{10}}$
6679	Solve for y	x=2( cube root of 12+y)	$x = 2 (\sqrt[3]{12 + y})$
6680	Simplify	4/( cube root of 4)	$\frac{4}{\sqrt[3]{4}}$
6681	Graph	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
6682	Find the GCF	12 and 16	$12$ and $16$
6683	Simplify	(8x-12)/-4	$\frac{8 x - 12}{- 4}$
6684	Find the Exact Value	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
6685	Evaluate Using the Given Value	x+5 if x=2	$x + 5$ if $x = 2$
6686	Simplify	n^22nn^2	$n^{2} \cdot 2 n \cdot n^{2}$
6687	Factor by Grouping	112xy-16x+128x^2-14y	$112 x y - 16 x + 128 x^{2} - 14 y$
6688	Graph	-x/2+5/2	$- \frac{x}{2} + \frac{5}{2}$
6689	Find All Complex Solutions	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
6690	Find the Secant Given the Point	(-1, square root of 3)	$(- 1, \sqrt{3})$
6691	Solve the Function Operation	f(x)=x^2-5x+2 g(x)=-4x-7 Find: g(f(x))	$f (x) = x^{2} - 5 x + 2$ $g (x) = - 4 x - 7$ Find: $g (f (x))$
6692	Simplify	2x(3x^2+4)-3x^3	$2 x (3 x^{2} + 4) - 3 x^{3}$
6693	Find the Roots (Zeros)	x=x^2	$x = x^{2}$
6694	Expand the Logarithmic Expression	log base 7 of ((5^2)/8)^6	$\log_{7} ({(\frac{5^{2}}{8})}^{6})$
6695	Multiply	-5ab*(a^2-2b)	$- 5 a b \cdot (a^{2} - 2 b)$
6696	Evaluate the Limit	limit as x approaches 0 of (sin(2x)+5tan(3x))/x	$lim_{x \to 0} \frac{\sin (2 x) + 5 \tan (3 x)}{x}$
6697	Simplify the Radical Expression	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
6698	Simplify the Radical Expression	square root of 10/(13r^3)	$\sqrt{\frac{10}{13 r^{3}}}$
6699	Simplify	(6^2)/6*(6^12)/(6^8)	$\frac{6^{2}}{6} \cdot \frac{6^{12}}{6^{8}}$
6700	Simplify	( square root of 175x^2y^4)/( square root of y^4)	$\frac{\sqrt{175 x^{2} y^{4}}}{\sqrt{y^{4}}}$